((3,5),(2,4) ) ((x),(y) )= (((x′)),((y′)) ) and ((a,b),(c,d) ) (((x′)),((y′)) )= ((x),(y) )
are true for any values of x,y,x′,y′,
find the values of a,b,c,d.
A gap must be left between steel
rails to allow for thermal expansion.
How large a gap is needed if the
maximum temperature reached
is 50° above the temperature at
which the rails were laid. The
length of the rail is 10m and
the α_(steal) =12×10^(−6) /°c